1/cosx(tanx-1)=tanx + cotx/tanx-cotx

plis helpme

You have not used enough brackets, so your question is not clear.

This is what you have asked. Is it what you really want?

\(\frac{1}{cosx(tanx-1)}=tanx + \frac{cotx}{tanx}-cotx\)

According to WolframAlpha.....as written, this isn't an identity........

I've been trying to find some other arrangement that might "work" ....but I haven't hit on any, yet.....!!!!